On a subclass of \(C^ 1\) functions for which the Lagrange interpolation yields the Jackson order of approximation
type: Item
instance of: scholarly article
title: On a subclass of \(C^ 1\) functions for which the Lagrange interpolation yields the Jackson order of approximation
zbMATH Open document ID: 0793.41005
DOI: 10.1155/S0161171294000323
author: Xin Li
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1994-05-18T00:00:00Z
full work available at URL: https://eudml.org/doc/46957
review text: Summary: We continue the investigation initiated by Mastroianni and Szabados on the question whether Jackson's order of approximation can be attained by Lagrange interpolation for a wide class of functions. Improving a recent result of Mastroianni and Szabados, we show that for a subclass of \(C^ 1\) functions the local order of approximation given by Lagrange interpolation can be much better (of at least \(O({1 \over n}))\) than Jackson's order.
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A25
zbMATH DE Number: 569387
zbMATH Keywords: Jackson's order of approximation
zbMATH Keywords: Lagrange interpolation
MaRDI profile type: Publication
Recommended article: On the Lagrange interpolation for a subset of \(C^ k\) functions
Recommended article: Jackson order of approximation by Lagrange interpolation. II
Recommended article: Q4324802
Recommended article: On approximation by Lagrange interpolating polynomials for a subset of the space of continuous functions
Recommended article: Q3976245
Recommended article: Q5355318
Recommended article: Q4457977
Recommended article: Q3357629
Recommended article: Q4023015
Recommended article: Q4485642
description: scientific article; zbMATH DE number 569387